Group theory forms a cornerstone of modern algebra, providing a structured framework for analysing symmetries in mathematics, physics and beyond. A group is a set coupled with an operation that ...
Transactions of the American Mathematical Society, Vol. 364, No. 4 (APRIL 2012), pp. 1997-2019 (23 pages) Let G be a simple algebraic group over an algebraically closed field k of bad characteristic.
We complete the program begun by Brin and Squier of characterising conjugacy in Thompson's group F using the standard action of F as a group of piecewise linear homeomorphisms of the unit interval.
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